5-6 Inequalities in One Triangle

Front

Can a triangle have sides with the given lengths: 15 cm, 1 cm, 15 cm?

Back

Yes

Front

What is the range of possible lengths for the third side of a triangle with sides 5 in and 16 in?

Back

11 < x < 21

Front

Find the longest side of ΔABC, with m∡A = 50, m∡B = 2x - 10, m∡C = 5x.

Back

AB

Front

Can a triangle have sides with the given lengths: 4 m, 5 m, 9 m?

Back

No

Front

List the sides of the triangle in order from shortest to longest: ΔDEF, with m∡D = 20, m∡E = 120, and m∡F = 40.

Back

EF, DE, DF

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If two sides of a triangle are 7 cm and 10 cm, what is the range for the third side?

Back

3 < x < 17

Front

In a triangle, if one angle measures 90 degrees, what type of triangle is it?

Back

Right triangle

Front

What is the relationship between the angles and sides of a triangle?

Back

The largest angle is opposite the longest side.

Front

If a triangle has sides of lengths 8 cm, 15 cm, and 17 cm, can it exist?

Back

Yes, it satisfies the Triangle Inequality Theorem.